The alternator doesnt cause more resistance when you go with an electric water pump. It still spins as if the waterpump were still belt driven.
Sorry, not buying the perpetual motion machine theory you're peddling.
Ever notice what happens to engine loading/speed at idle when you flip on a heavy electrical load like, say, a rear defogger grid? Or high beams? Or the blower motor on full? There is a definite increase in load and it's coming from the alternator.
When you put an electrical load on the alternator, its output drops. In order to compensate, the regulator adds field current. This results in higher stator (output) current but it also adds to the rotating resistance of the alternator because of the stronger magnetic fields. Bottom line: To get more electrical power out you need to feed in more mechanical power.
The alternator isn't just freewheeling, practically no-load all the time. The effort it takes to rotate it is proportional to the electrical demands being made of it. If you want to drive a 250W motor you're going to need to feed the alternator
more than 250W of mechanical power; more, because the alternator is not 100% efficient at converting mechanical to electrical power; 80% is more typical. Then there's the motor's efficiency at turning electrical power into mechanical torque...expect only about 80% there too.
If you want to move coolant through the system at a given rate it doesn't matter if the pump is mechanically or electrically driven: the impeller still needs the same power input all else being equal. And that power needs to come from somewhere.
EWPs may save power if they are not being driven all the time (e.g. selectively turned off by the driver or by a thermostatic switch) or are being driven by, say, chopping (PWM) such that they spin slower than the mechanical belt-driven pump.
The EWP becoming a nearly load-less idler pulley versus a waterpump's drag caused by its seals is about the only other possible place to make a gain but I suspect it's likely a wash in the real world because you've removed a nearly 100%-efficient belt-drive in favor of mechanical-electrical-mechanical conversion where efficiencies might only get to about 80% at each stage.
Whether or not this makes sense for a daily driver and whether or not the bang/buck ratio is worth it is up the individual I guess. YMMV.